c) three decimal places 2. Use a calculator to determine the value correct to: \( \begin{array}{ll}\text { i) the nearest whole number } \\ \begin{array}{ll}\text { ii) two decimal places. } \\ \text { a) } 31,86-4,92 \times 2,08+0,236 \div 6,2 & \text { b) } 4+\frac{2}{3} \times \frac{15}{16}-0,84\end{array} \\ \text { c) } 4 \pi \times 2-8 \div 6 & \text { d) } 0,25^{2}-2 \pi\end{array} \) 3. There were 28605 spectators at a swimming gala. Give the number of spectators rounded off to the nearest:

Certainly! Let's work through each of the problems you've provided step by step. --- ## **Problem 2** **Use a calculator to determine the value correct to:** - **i) the nearest whole number** - **ii) two decimal places** ### **a) \(31.86 - 4.92 \times 2.08 + 0.236 \div 6.2\)** 1. **Calculate each operation:** - \(4.92 \times 2.08 = 10.2336\) - \(0.236 \div 6.2 \approx 0.0380645\) 2. **Combine the results:** \[ 31.86 - 10.2336 + 0.0380645 \approx 21.6645 \] 3. **Round the result:** - **i) Nearest whole number:** **22** - **ii) Two decimal places:** **21.66** --- ### **b) \(4 + \frac{2}{3} \times \frac{15}{16} - 0.84\)** 1. **Calculate each operation:** - \(\frac{2}{3} \times \frac{15}{16} = \frac{30}{48} = 0.625\) 2. **Combine the results:** \[ 4 + 0.625 - 0.84 = 3.785 \] 3. **Round the result:** - **i) Nearest whole number:** **4** - **ii) Two decimal places:** **3.79** --- ### **c) \(4 \pi \times 2 - 8 \div 6\)** 1. **Calculate each operation:** - \(4 \pi \times 2 = 8\pi \approx 25.13274123\) - \(8 \div 6 \approx 1.33333333\) 2. **Combine the results:** \[ 25.13274123 - 1.33333333 \approx 23.7994079 \] 3. **Round the result:** - **i) Nearest whole number:** **24** - **ii) Two decimal places:** **23.80** --- ### **d) \(0.25^{2} - 2 \pi\)** 1. **Calculate each operation:** - \(0.25^{2} = 0.0625\) - \(2 \pi \approx 6.283185307\) 2. **Combine the results:** \[ 0.0625 - 6.283185307 \approx -6.220685307 \] 3. **Round the result:** - **i) Nearest whole number:** **-6** - **ii) Two decimal places:** **-6.22** --- ## **Problem 3** **There were 28,605 spectators at a swimming gala.** **Give the number of spectators rounded off to the nearest:** Assuming part **c)** relates to rounding to the nearest thousand: - **c) Nearest thousand:** \[ 28,605 \text{ rounded to the nearest thousand is } 29,000 \] --- ## **Summary of Answers** ### **Problem 2** | Part | i) Nearest Whole Number | ii) Two Decimal Places | |------|-------------------------|------------------------| | a) | 22 | 21.66 | | b) | 4 | 3.79 | | c) | 24 | 23.80 | | d) | -6 | -6.22 | ### **Problem 3** | Part | Rounded Number | |------|-----------------| | c) | 29,000 | --- If you have any further questions or need additional assistance, feel free to ask!